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Finding the Fourth Proportional to 17,821, 24,599.46 and 10,369

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Solution

The fourth proportional to 17,821, 24,599.46 and 10,369 is: 14,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821 : 24,599.46 = 10,369 : x
  2. Step 2: Convert to fraction form
    17,821/24,599.46 = 10,369/x
  3. Step 3: Cross multiply
    17,821x = 24,599.46 × 10,369
  4. Step 4: Simplify right side
    17,821x = 255,071,800.74
  5. Step 5: Solve for x
    x = 255,071,800.74/17,821
  6. Step 6: Final answer
    x = 14,312.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.